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Simplifying -0.06p + -0.06(4 + -2p) = 0.02(p + -4) + -0.04 -0.06p + (4 * -0.06 + -2p * -0.06) = 0.02(p + -4) + -0.04 -0.06p + (-0.24 + 0.12p) = 0.02(p + -4) + -0.04 Reorder the terms: -0.24 + -0.06p + 0.12p = 0.02(p + -4) + -0.04 Combine like terms: -0.06p + 0.12p = 0.06p -0.24 + 0.06p = 0.02(p + -4) + -0.04 Reorder the terms: -0.24 + 0.06p = 0.02(-4 + p) + -0.04 -0.24 + 0.06p = (-4 * 0.02 + p * 0.02) + -0.04 -0.24 + 0.06p = (-0.08 + 0.02p) + -0.04 Reorder the terms: -0.24 + 0.06p = -0.08 + -0.04 + 0.02p Combine like terms: -0.08 + -0.04 = -0.12 -0.24 + 0.06p = -0.12 + 0.02p Solving -0.24 + 0.06p = -0.12 + 0.02p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.02p' to each side of the equation. -0.24 + 0.06p + -0.02p = -0.12 + 0.02p + -0.02p Combine like terms: 0.06p + -0.02p = 0.04p -0.24 + 0.04p = -0.12 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.24 + 0.04p = -0.12 + 0.00 -0.24 + 0.04p = -0.12 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.04p = -0.12 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.04p = -0.12 + 0.24 0.04p = -0.12 + 0.24 Combine like terms: -0.12 + 0.24 = 0.12 0.04p = 0.12 Divide each side by '0.04'. p = 3 Simplifying p = 3
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